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Finding the Fourth Proportional to 21,779.76, 30,057.38 and 12,833.23

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Solution

The fourth proportional to 21,779.76, 30,057.38 and 12,833.23 is: 17,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,779.76 : 30,057.38 = 12,833.23 : x
  2. Step 2: Convert to fraction form
    21,779.76/30,057.38 = 12,833.23/x
  3. Step 3: Cross multiply
    21,779.76x = 30,057.38 × 12,833.23
  4. Step 4: Simplify right side
    21,779.76x = 385,733,270.74
  5. Step 5: Solve for x
    x = 385,733,270.74/21,779.76
  6. Step 6: Final answer
    x = 17,710.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.